Provide an appropriate response.Suppose a corporation pays $50,000 for a machine that has a useful life of eight years and a salvage value of $5000. A sinking fund is established to replace the machine at the end of 8 years. The replacement machine will cost $70,000. If equal payments are made into the fund at the end of every 6 months and the fund earns interest at the rate of 10% compounded semiannually, what should each payment be?

Fill in the blank(s) with the appropriate word(s).


$2747.54

Mathematics

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Solve the problem.John does 12 pushups on the first day of a 30-day month, and then increases the number of pushups by 2 pushups a day. How many pushups has he done by the end of the month?

A. 1218 B. 1260 C. 1230 D. 1290

Mathematics

Use algebraic and/or graphical methods to solve the inequality.m3 - 25m ? 0

A. -5 < x < 0 or x > 5 B. -5 < x ? 0 or x ? 5 C. -5 ? x ? 0 or x ? 5 D. -5 ? x < 0 or x > 5

Mathematics

Solve the system by graphing.

A. (3, 2) B. (-2, -2) C. (-3, -4) D. (-3, 2)

Mathematics

Use a calculator to find the approximate value. Express your answer in degrees rounded to two decimal places.cos-1(-0.9397)

A. -20° B. 157° C. 160° D. 162°

Mathematics